The values of a linear function are given in the table below: f(x) 0 7 12 x −7 0 5 What is the point with a positive xx-coordinate at which the exponential function g(x)=3x exceeds f(x)?     g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>2 for all x>9.   g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>2 for all x>9.   g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>9 for all x>2.   g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The values of a linear function are given in the table below:

f(x) 0 7 12
x −7 0 5

What is the point with a positive xx-coordinate at which the exponential function g(x)=3x exceeds f(x)?

 
 
  • g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>2 for all x>9.
     
  • g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>2 for all x>9.
     
  • g(x) and f(x) have the same yy-value at (9, 2) since f(9)=2, g(9)=2, and g(x)>f(x)>9 for all x>2.
     
  • g(x) and f(x) have the same yy-value at (2, 9) since f(2)=9, g(2)=9, and g(x)>f(x)>9 for all x>2.
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